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Finding the Fourth Proportional to 6,157, 8,496.72 and 3,362.56

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Solution

The fourth proportional to 6,157, 8,496.72 and 3,362.56 is: 4,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157 : 8,496.72 = 3,362.56 : x
  2. Step 2: Convert to fraction form
    6,157/8,496.72 = 3,362.56/x
  3. Step 3: Cross multiply
    6,157x = 8,496.72 × 3,362.56
  4. Step 4: Simplify right side
    6,157x = 28,570,730.80
  5. Step 5: Solve for x
    x = 28,570,730.80/6,157
  6. Step 6: Final answer
    x = 4,640.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.